Algebraic Geometry pp 163-173 | Cite as
Hilbert Polynomials
Chapter
Abstract
Given that a projective variety X ⊂ ℙ n is an intersection of hypersurfaces, one of the most basic problems we can pose in relation to X is to describe the hypersurfaces that contain it. In particular, we want to know how many hypersurfaces of each degree contain X—that is, for each value of m, to know the dimension of the vector space of homogeneous polynomials of degree m vanishing on X.
Keywords
Complete Intersection Homogeneous Polynomial Projective Variety Betti Number Plane Curve
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information
© Springer Science+Business Media New York 1992